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Chaire Modélisation Mathématique et Biodiversité

VEOLIA Environnement, Ecole Polytechnique, Muséum national d'Histoire naturelle, Fondation de l'Ecole Polytechnique

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Publications (page en construction)

2009

  1. Méléard, S.: Introduction to stochastic models for evolution. Markov Process. Related Fields 15 (2009), no. 3, pp.259-264.

2010

  1. Bansaye V, Boeinghoff C, Upper large deviations for Branching Processes in Random Environment with heavy tails (2010), submitted.
  2. Bansaye V, Delmas JF, Marsalle L, Tran VC, Limit theorems for Markov processes indexed by continuous time Galton-Watson trees, in revision for the Annals of Applied Probbility (2010)
  3. Bansaye V, Dombry C, Mazza C, Phenotypic diversity and population growth in fluctuating environment: a MBPRE approach (2010),
  4. Bansaye V, Tran VC, Branching Feller diffusion for cell division with parasite infection, (2010), submitted.
  5. Cattiaux, P., Méléard, S.: Competitive or weak cooperative stochastic Lotka-Volterra systems conditioned on non-extinction. J. Math. Biology 6 (2010), 797--829.
  6. Decreusefond L, Dhersin JS, Moyal P, Tran VC, Large graph limit for a SIR process in random network with heterogeneous connectivity, (2010), submitted.
  7. Diekmann, O., Gyllenberg,M., Metz, J. A. J., Nakaoka, S. & de Roos, A.M. (2010) Daphnia revisited: local stability and bifurcation theory for physiologically structured population models explained by way of an example. J Math Biol. 61: 277-318 (2010) DOI 10.1007/s00285-009-0299-y, web-prepublication
  8. Diekmann, O. & Metz, J.A.J., How to lift a model for individual behaviour to the population level? Phil Trans. Roy. Soc. London B, to appear
  9. Méléard S., Tran VC, Slow and fast scales for superprocess limits of age-structured populations, (2010), submitted.
  10. Meszéna, G., & Metz, J.A.J (in press) In Species diversity and population regulation: the importance of environmental feedback. In U.Dieckmann & J.A.J. Metz: Elements of Adaptive Dynamics. Cambridge University Press, to appear
  11. Metz JAJ, Thoughts on the geometry of meso-evolution: collecting mathematical elements for a postmodern synthesis. In: FA da Costa Carvalho Chalub & JF Rodrigues eds. The Mathematics of Darwin's Legacy. Basel: Birkhauser, to appear
  12. Metz, J.A.J. & Leimar O () A simple fitness proxy for ESS calculations in structured populations with continuous traits, with applications to the evolution of haplo-diploids and genetic dimorphisms. J. Biol. Dyn., to appear
  13. Mylius S.D. & Metz, J.A.J. (in press) When Does Evolution Optimize? On the relationship between evolutionary stability, optimization and density dependence. In: U. Dieckmann & J.A.J. Metz (eds): Elements of Adaptive Dynamics. Cambridge University Press, to appear
  14. Van den Berg F, Bacaer N, Metz JAJ, Lannou C & van den Bosch F, Periodic host absence can select for higher or lower parasite transmission rates. EVEC, to appear

2011

  1. Champagnat, N., Méléard, S.: Polymorphic evolution sequence and evolutionary branching. Probab. Theory Related Fields, Volume 151, Issue 1 (2011), 45--94.
  2. Collet, P., Martinez, S., Méléard, S., San Martin, J.: Quasi-stationarity distributions for structured birth and death process with mutations. Probab. Theory Related Fields, Volume 151, Issue 1 (2011), Page 191-231.
  3. Méléard S.: Random Modeling of Adaptive Dynamics and Evolutionary Branching. The mathematics of Darwin's legacy, F. Chalub J.F. Rodrigues eds, Birhauser (2011).

2012

  1. Jourdain, B., Méléard S., Woyczynski, W.: Lévy flights in evolutionary ecology. À paraître dans JMB.
  2. Méléard S., Tran, C.V.: Stochastic Processes and their Applications 122 (2012) 250–276.

En cours de publication:

  1. Collet, P., Méléard, S., Metz, J.A.J.: A rigorous model study of adaptive dynamics for Mendelian diploids.
  2. Coron, C., Méléard, S., Porcher, E., et Robert, A.: Quantifying the mutational meltdown in diploid populations.
  3. Méléard, S., Tran, C.V.: Nonlinear historical superprocess approximations for population models with past dependence.
  4. Méléard, S., Villemonais, D.: Quasi-stationary distributions and population processes.